Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.5 Real Numbers and Their Properties; Clock Addition - Exercise Set 5.5: 48

Answer

$\sqrt3 - \sqrt3 = 0$ $\sqrt3$ is irrational, but 0 is not.

Work Step by Step

Irrational numbers are not closed with respect to subtraction, as can be seen in the example below: $\sqrt3$ is an irrational number. However, $\sqrt3 - \sqrt3 = 0$, which is not an irrational number.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.